Quiver Gauge Theory and Extended Electric-magnetic Duality

TL;DR

This paper constructs a class of N=1 quiver gauge theories with field-dependent gauge kinetic terms derived from string theory setups and explores an extended electric-magnetic duality related to Weyl reflections in A-D-E types.

Contribution

It introduces a novel extension of electric-magnetic duality for N=1 quiver gauge theories with field-dependent gauge kinetic terms, grounded in string theory constructions.

Findings

Extended duality is consistent with field theory principles.

Weyl reflection acts non-trivially on gauge kinetic terms.

Duality map of operators is established.

Abstract

We construct N=1 A-D-E quiver gauge theory with the gauge kinetic term which depends on the adjoint chiral superfields, as a low energy effective theory on D5-branes wrapped on 2-cycles of Calabi-Yau 3-fold in IIB string theory. The field-dependent gauge kinetic term can be engineered by introducing B-field which holomorphically varies on the base space (complex plane) of Calabi-Yau. We consider Weyl reflection on A-D-E node, which acts non-trivially on the gauge kinetic term. It is known that Weyl reflection is related to N=1 electric-magnetic duality. Therefore, the non-trivial action implies an extension of the electric-magnetic duality to the case with the field-dependent gauge kinetic term. We show that this extended duality is consistent from the field theoretical point of view. We also consider the duality map of the operators.